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Finding the Third Proportional to 478,870 and 714,152

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Solution

The third proportional to 478,870 and 714,152 is: 1,065,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,870 : 714,152 = 714,152 : x
  2. Step 2: Convert to fraction form
    478,870/714,152 = 714,152/x
  3. Step 3: Cross multiply
    478,870x = 714,152 × 714,152
  4. Step 4: Simplify right side
    478,870x = 510,013,079,104
  5. Step 5: Solve for x
    x = 510,013,079,104/478,870
  6. Step 6: Final answer
    x = 1,065,034.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.